This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3549488

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.17 while 0.83 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

11

1

1

0.450

0.449

0.184

0.708

1.062

0.136

0.007

CSEO

p_pelagic

11

1

2

0.383

0.378

0.144

0.641

1.057

0.129

0.039

CSEO

p_pelagic

11

10

1

0.455

0.452

0.199

0.716

1.047

0.134

0.022

CSEO

p_pelagic

11

10

2

0.387

0.379

0.157

0.643

1.054

0.128

0.063

CSEO

p_pelagic

11

11

1

0.452

0.451

0.202

0.714

1.045

0.133

0.008

CSEO

p_pelagic

11

11

2

0.386

0.382

0.162

0.651

1.050

0.126

0.032

CSEO

p_pelagic

11

12

1

0.449

0.447

0.202

0.710

1.056

0.132

0.015

CSEO

p_pelagic

11

12

2

0.387

0.380

0.165

0.639

1.040

0.125

0.056

CSEO

p_pelagic

11

13

1

0.451

0.447

0.210

0.705

1.052

0.131

0.031

CSEO

p_pelagic

11

13

2

0.388

0.382

0.163

0.654

1.053

0.127

0.047

CSEO

p_pelagic

11

14

1

0.466

0.466

0.220

0.712

1.063

0.129

0.000

CSEO

p_pelagic

11

14

2

0.389

0.384

0.161

0.646

1.049

0.126

0.040

CSEO

p_pelagic

11

15

1

0.419

0.413

0.180

0.684

1.058

0.130

0.046

CSEO

p_pelagic

11

15

2

0.381

0.375

0.163

0.632

1.041

0.124

0.048

CSEO

p_pelagic

11

16

1

0.474

0.474

0.241

0.721

1.044

0.124

0.000

CSEO

p_pelagic

11

16

2

0.392

0.389

0.163

0.652

1.055

0.125

0.024

CSEO

p_pelagic

11

17

1

0.460

0.457

0.227

0.701

1.057

0.124

0.024

CSEO

p_pelagic

11

17

2

0.390

0.381

0.168

0.639

1.029

0.124

0.073

CSEO

p_pelagic

11

18

1

0.462

0.458

0.228

0.715

1.029

0.125

0.032

CSEO

p_pelagic

11

18

2

0.391

0.383

0.174

0.648

1.033

0.123

0.065

CSEO

p_pelagic

11

19

1

0.473

0.471

0.245

0.707

1.035

0.123

0.016

CSEO

p_pelagic

11

19

2

0.394

0.388

0.169

0.660

1.030

0.128

0.047

CSEO

p_pelagic

11

2

1

0.451

0.445

0.200

0.710

1.066

0.134

0.045

CSEO

p_pelagic

11

2

2

0.386

0.378

0.151

0.658

1.048

0.132

0.060

CSEO

p_pelagic

11

20

1

0.471

0.471

0.247

0.708

1.018

0.120

0.000

CSEO

p_pelagic

11

20

2

0.396

0.391

0.180

0.646

1.027

0.122

0.041

CSEO

p_pelagic

11

21

1

0.474

0.473

0.249

0.724

1.040

0.122

0.008

CSEO

p_pelagic

11

21

2

0.398

0.392

0.182

0.653

1.014

0.122

0.049

CSEO

p_pelagic

11

22

2

0.402

0.395

0.183

0.658

1.022

0.124

0.057

CSEO

p_pelagic

11

23

2

0.439

0.437

0.214

0.687

1.010

0.122

0.016

CSEO

p_pelagic

11

3

1

0.446

0.445

0.191

0.706

1.055

0.133

0.008

CSEO

p_pelagic

11

3

2

0.383

0.381

0.155

0.650

1.050

0.128

0.016

CSEO

p_pelagic

11

4

1

0.452

0.451

0.204

0.710

1.061

0.132

0.008

CSEO

p_pelagic

11

4

2

0.386

0.380

0.152

0.656

1.062

0.130

0.046

CSEO

p_pelagic

11

5

1

0.453

0.454

0.204

0.708

1.042

0.132

-0.008

CSEO

p_pelagic

11

5

2

0.382

0.378

0.155

0.641

1.070

0.129

0.031

CSEO

p_pelagic

11

6

1

0.447

0.446

0.201

0.704

1.066

0.132

0.008

CSEO

p_pelagic

11

6

2

0.381

0.377

0.157

0.630

1.069

0.124

0.032

CSEO

p_pelagic

11

7

1

0.452

0.449

0.208

0.704

1.066

0.131

0.023

CSEO

p_pelagic

11

7

2

0.385

0.380

0.152

0.644

1.067

0.129

0.039

CSEO

p_pelagic

11

8

1

0.450

0.452

0.198

0.710

1.051

0.132

-0.015

CSEO

p_pelagic

11

8

2

0.386

0.379

0.158

0.646

1.063

0.127

0.055

CSEO

p_pelagic

11

9

1

0.451

0.451

0.206

0.718

1.070

0.132

0.000

CSEO

p_pelagic

11

9

2

0.386

0.382

0.158

0.655

1.065

0.129

0.031

CSEO

p_dsr

12

18

2

0.883

0.904

0.672

0.976

1.011

0.080

-0.262

EWYKT

p_pelagic

13

1

1

0.342

0.326

0.128

0.642

1.225

0.135

0.118

NSEI

p_pelagic

13

1

2

0.149

0.132

0.040

0.356

1.241

0.082

0.206

NSEI

p_pelagic

13

10

1

0.355

0.339

0.140

0.649

1.191

0.132

0.121

NSEI

p_pelagic

13

10

2

0.155

0.139

0.045

0.352

1.193

0.081

0.196

NSEI

p_pelagic

13

11

1

0.355

0.343

0.132

0.635

1.164

0.133

0.090

NSEI

p_pelagic

13

11

2

0.158

0.140

0.048

0.368

1.179

0.084

0.215

NSEI

p_pelagic

13

12

1

0.361

0.349

0.144

0.645

1.168

0.132

0.091

NSEI

p_pelagic

13

12

2

0.155

0.139

0.048

0.359

1.177

0.079

0.203

NSEI

p_pelagic

13

13

1

0.364

0.354

0.143

0.640

1.165

0.132

0.076

NSEI

p_pelagic

13

13

2

0.160

0.143

0.049

0.366

1.153

0.082

0.207

NSEI

p_pelagic

13

14

1

0.349

0.336

0.149

0.614

1.116

0.126

0.103

NSEI

p_pelagic

13

14

2

0.159

0.144

0.052

0.346

1.122

0.078

0.192

NSEI

p_pelagic

13

15

1

0.317

0.304

0.126

0.593

1.141

0.121

0.107

NSEI

p_pelagic

13

15

2

0.148

0.134

0.047

0.323

1.140

0.072

0.194

NSEI

p_pelagic

13

16

1

0.357

0.345

0.149

0.623

1.125

0.125

0.096

NSEI

p_pelagic

13

16

2

0.163

0.148

0.052

0.358

1.096

0.079

0.191

NSEI

p_pelagic

13

17

1

0.367

0.354

0.159

0.634

1.117

0.123

0.106

NSEI

p_pelagic

13

17

2

0.166

0.151

0.056

0.357

1.102

0.079

0.190

NSEI

p_pelagic

13

18

1

0.378

0.368

0.166

0.650

1.086

0.126

0.080

NSEI

p_pelagic

13

18

2

0.172

0.158

0.060

0.376

1.103

0.082

0.171

NSEI

p_pelagic

13

19

1

0.371

0.360

0.167

0.627

1.070

0.122

0.090

NSEI

p_pelagic

13

19

2

0.172

0.159

0.061

0.353

1.088

0.076

0.170

NSEI

p_pelagic

13

2

1

0.345

0.333

0.124

0.631

1.212

0.136

0.088

NSEI

p_pelagic

13

2

2

0.150

0.132

0.042

0.361

1.201

0.083

0.217

NSEI

p_pelagic

13

20

1

0.384

0.373

0.169

0.642

1.060

0.123

0.089

NSEI

p_pelagic

13

20

2

0.177

0.165

0.062

0.369

1.076

0.079

0.152

NSEI

p_pelagic

13

21

1

0.399

0.389

0.190

0.653

1.052

0.120

0.083

NSEI

p_pelagic

13

21

2

0.189

0.176

0.065

0.382

1.036

0.083

0.157

NSEI

p_pelagic

13

22

2

0.187

0.176

0.069

0.377

1.042

0.080

0.137

NSEI

p_pelagic

13

23

2

0.116

0.106

0.043

0.247

1.015

0.052

0.193

NSEI

p_pelagic

13

3

1

0.346

0.332

0.126

0.647

1.211

0.136

0.103

NSEI

p_pelagic

13

3

2

0.148

0.132

0.044

0.355

1.242

0.081

0.198

NSEI

p_pelagic

13

4

1

0.345

0.328

0.130

0.627

1.176

0.133

0.128

NSEI

p_pelagic

13

4

2

0.149

0.132

0.043

0.356

1.197

0.082

0.209

NSEI

p_pelagic

13

5

1

0.347

0.330

0.130

0.646

1.207

0.138

0.123

NSEI

p_pelagic

13

5

2

0.150

0.132

0.044

0.358

1.237

0.081

0.222

NSEI

p_pelagic

13

6

1

0.348

0.335

0.125

0.638

1.182

0.135

0.096

NSEI

p_pelagic

13

6

2

0.151

0.133

0.045

0.353

1.195

0.080

0.224

NSEI

p_pelagic

13

7

1

0.349

0.333

0.136

0.650

1.198

0.134

0.119

NSEI

p_pelagic

13

7

2

0.152

0.135

0.043

0.349

1.175

0.080

0.211

NSEI

p_pelagic

13

8

1

0.351

0.338

0.139

0.633

1.184

0.132

0.099

NSEI

p_pelagic

13

8

2

0.152

0.133

0.046

0.361

1.216

0.082

0.233

NSEI

p_pelagic

13

9

1

0.352

0.337

0.134

0.631

1.174

0.131

0.114

NSEI

p_pelagic

13

9

2

0.154

0.138

0.046

0.349

1.229

0.080

0.199

NSEI

p_slope

14

19

2

0.072

0.053

0.009

0.256

1.020

0.066

0.288

NSEO

p_pelagic

14

3

1

0.430

0.428

0.203

0.680

1.010

0.125

0.016

NSEO

p_pelagic

15

1

1

0.434

0.433

0.207

0.673

1.011

0.123

0.008

SSEI

p_pelagic

15

1

2

0.185

0.175

0.063

0.374

1.020

0.079

0.127

SSEI

p_pelagic

15

10

1

0.434

0.434

0.205

0.673

1.015

0.123

0.000

SSEI

p_pelagic

15

11

1

0.435

0.431

0.201

0.684

1.015

0.125

0.032

SSEI

p_pelagic

15

12

1

0.435

0.433

0.210

0.680

1.016

0.121

0.016

SSEI

p_pelagic

15

13

1

0.437

0.434

0.203

0.680

1.014

0.124

0.024

SSEI

p_pelagic

15

14

1

0.440

0.439

0.209

0.679

1.028

0.123

0.008

SSEI

p_pelagic

15

14

2

0.185

0.174

0.067

0.366

1.014

0.077

0.143

SSEI

p_pelagic

15

15

1

0.418

0.413

0.199

0.662

1.017

0.120

0.042

SSEI

p_pelagic

15

15

2

0.176

0.166

0.060

0.356

1.015

0.075

0.132

SSEI

p_pelagic

15

16

1

0.432

0.430

0.198

0.681

1.019

0.124

0.016

SSEI

p_pelagic

15

17

1

0.444

0.437

0.219

0.684

1.012

0.122

0.057

SSEI

p_pelagic

15

18

1

0.437

0.437

0.212

0.677

1.024

0.122

0.000

SSEI

p_pelagic

15

19

1

0.434

0.430

0.210

0.679

1.010

0.122

0.033

SSEI

p_pelagic

15

19

2

0.187

0.175

0.070

0.378

1.014

0.078

0.153

SSEI

p_pelagic

15

2

1

0.437

0.435

0.208

0.675

1.014

0.122

0.016

SSEI

p_pelagic

15

2

2

0.185

0.174

0.065

0.373

1.014

0.079

0.139

SSEI

p_pelagic

15

20

2

0.187

0.177

0.070

0.372

1.010

0.078

0.128

SSEI

p_pelagic

15

3

1

0.437

0.434

0.194

0.680

1.017

0.124

0.024

SSEI

p_pelagic

15

3

2

0.184

0.174

0.066

0.370

1.011

0.078

0.128

SSEI

p_pelagic

15

4

1

0.433

0.429

0.198

0.686

1.014

0.127

0.032

SSEI

p_pelagic

15

5

1

0.438

0.438

0.204

0.685

1.023

0.124

0.000

SSEI

p_pelagic

15

5

2

0.184

0.172

0.064

0.370

1.014

0.080

0.150

SSEI

p_pelagic

15

6

1

0.435

0.434

0.206

0.673

1.012

0.122

0.008

SSEI

p_pelagic

15

6

2

0.185

0.173

0.067

0.365

1.011

0.079

0.152

SSEI

p_pelagic

15

7

1

0.433

0.429

0.198

0.683

1.020

0.125

0.032

SSEI

p_pelagic

15

8

1

0.435

0.432

0.207

0.678

1.013

0.124

0.024

SSEI

p_pelagic

15

8

2

0.185

0.173

0.066

0.379

1.011

0.080

0.150

SSEI

p_pelagic

15

9

2

0.185

0.171

0.066

0.363

1.016

0.078

0.180

SSEI

p_pelagic

16

1

1

0.401

0.397

0.153

0.672

1.127

0.140

0.029

SSEO

p_pelagic

16

1

2

0.379

0.375

0.135

0.657

1.116

0.138

0.029

SSEO

p_pelagic

16

10

1

0.407

0.402

0.158

0.685

1.093

0.139

0.036

SSEO

p_pelagic

16

10

2

0.381

0.373

0.150

0.659

1.101

0.134

0.060

SSEO

p_pelagic

16

11

1

0.404

0.398

0.162

0.674

1.104

0.135

0.044

SSEO

p_pelagic

16

11

2

0.384

0.375

0.142

0.667

1.099

0.137

0.066

SSEO

p_pelagic

16

12

1

0.404

0.400

0.162

0.677

1.068

0.137

0.029

SSEO

p_pelagic

16

12

2

0.383

0.378

0.151

0.664

1.112

0.134

0.037

SSEO

p_pelagic

16

13

1

0.407

0.404

0.161

0.668

1.094

0.137

0.022

SSEO

p_pelagic

16

13

2

0.387

0.381

0.147

0.663

1.080

0.136

0.044

SSEO

p_pelagic

16

14

1

0.395

0.388

0.164

0.674

1.096

0.133

0.053

SSEO

p_pelagic

16

14

2

0.382

0.372

0.155

0.644

1.081

0.130

0.077

SSEO

p_pelagic

16

15

1

0.403

0.394

0.166

0.686

1.089

0.136

0.066

SSEO

p_pelagic

16

15

2

0.385

0.379

0.155

0.660

1.055

0.133

0.045

SSEO

p_pelagic

16

16

1

0.392

0.383

0.165

0.664

1.076

0.131

0.069

SSEO

p_pelagic

16

16

2

0.387

0.379

0.160

0.653

1.076

0.129

0.062

SSEO

p_pelagic

16

17

1

0.451

0.450

0.213

0.692

1.058

0.127

0.008

SSEO

p_pelagic

16

17

2

0.403

0.396

0.172

0.676

1.079

0.133

0.053

SSEO

p_pelagic

16

18

1

0.429

0.423

0.196

0.686

1.075

0.128

0.047

SSEO

p_pelagic

16

18

2

0.401

0.395

0.169

0.657

1.048

0.129

0.047

SSEO

p_pelagic

16

19

1

0.420

0.415

0.191

0.681

1.065

0.128

0.039

SSEO

p_pelagic

16

19

2

0.405

0.398

0.174

0.669

1.045

0.130

0.054

SSEO

p_pelagic

16

2

1

0.400

0.393

0.153

0.677

1.105

0.138

0.051

SSEO

p_pelagic

16

2

2

0.376

0.367

0.137

0.653

1.136

0.138

0.065

SSEO

p_pelagic

16

20

1

0.428

0.423

0.196

0.683

1.048

0.128

0.039

SSEO

p_pelagic

16

20

2

0.398

0.389

0.177

0.654

1.060

0.127

0.071

SSEO

p_slope

16

20

1

0.087

0.066

0.013

0.291

1.017

0.073

0.288

SSEO

p_pelagic

16

21

1

0.404

0.396

0.193

0.656

1.026

0.121

0.066

SSEO

p_pelagic

16

21

2

0.398

0.391

0.176

0.659

1.038

0.127

0.055

SSEO

p_pelagic

16

22

2

0.410

0.405

0.182

0.661

1.030

0.127

0.039

SSEO

p_pelagic

16

23

2

0.317

0.304

0.131

0.558

1.012

0.112

0.116

SSEO

p_pelagic

16

3

1

0.401

0.397

0.157

0.683

1.101

0.137

0.029

SSEO

p_pelagic

16

3

2

0.378

0.367

0.137

0.649

1.095

0.135

0.081

SSEO

p_pelagic

16

4

1

0.402

0.393

0.159

0.689

1.093

0.141

0.064

SSEO

p_pelagic

16

4

2

0.377

0.376

0.141

0.654

1.099

0.135

0.007

SSEO

p_pelagic

16

42

1

0.832

0.832

0.826

0.839

1.126

0.003

0.000

SSEO

p_yellow

16

42

1

0.405

0.405

0.384

0.426

1.048

0.011

0.000

SSEO

p_dsr

16

42

1

0.470

0.479

0.411

0.513

3.555

0.030

-0.299

SSEO

p_slope

16

42

1

0.146

0.132

0.107

0.205

5.007

0.032

0.443

SSEO

p_pelagic

16

5

1

0.401

0.395

0.162

0.672

1.113

0.137

0.044

SSEO

p_pelagic

16

5

2

0.379

0.370

0.137

0.656

1.117

0.137

0.066

SSEO

p_pelagic

16

6

1

0.402

0.397

0.149

0.687

1.108

0.142

0.035

SSEO

p_pelagic

16

6

2

0.376

0.368

0.147

0.641

1.100

0.133

0.060

SSEO

p_pelagic

16

7

1

0.402

0.396

0.157

0.676

1.086

0.137

0.044

SSEO

p_pelagic

16

7

2

0.381

0.374

0.134

0.652

1.089

0.135

0.052

SSEO

p_pelagic

16

8

1

0.400

0.397

0.155

0.672

1.106

0.138

0.022

SSEO

p_pelagic

16

8

2

0.383

0.374

0.147

0.657

1.117

0.136

0.066

SSEO

p_pelagic

16

9

1

0.405

0.402

0.155

0.686

1.093

0.139

0.022

SSEO

p_pelagic

16

9

2

0.382

0.373

0.150

0.656

1.097

0.135

0.067

SSEO

p_pelagic

3

1

1

0.548

0.553

0.283

0.783

1.013

0.131

-0.038

PWSI

p_pelagic

3

10

1

0.551

0.555

0.290

0.784

1.011

0.129

-0.031

PWSI

p_pelagic

3

11

2

0.191

0.178

0.066

0.389

1.010

0.085

0.152

PWSI

p_pelagic

3

12

2

0.190

0.178

0.066

0.382

1.012

0.084

0.144

PWSI

p_pelagic

3

13

1

0.549

0.551

0.285

0.789

1.018

0.132

-0.015

PWSI

p_pelagic

3

14

1

0.555

0.559

0.291

0.790

1.013

0.130

-0.031

PWSI

p_pelagic

3

14

2

0.194

0.182

0.067

0.389

1.013

0.084

0.142

PWSI

p_pelagic

3

15

2

0.184

0.170

0.066

0.377

1.017

0.081

0.172

PWSI

p_pelagic

3

16

1

0.551

0.558

0.297

0.787

1.013

0.128

-0.054

PWSI

p_pelagic

3

16

2

0.189

0.175

0.064

0.390

1.016

0.085

0.166

PWSI

p_pelagic

3

17

1

0.548

0.549

0.300

0.783

1.010

0.129

-0.008

PWSI

p_pelagic

3

17

2

0.190

0.177

0.066

0.383

1.016

0.084

0.155

PWSI

p_pelagic

3

2

2

0.192

0.178

0.068

0.398

1.012

0.085

0.165

PWSI

p_pelagic

3

4

1

0.551

0.553

0.291

0.795

1.010

0.132

-0.015

PWSI

p_pelagic

3

5

1

0.548

0.550

0.295

0.789

1.015

0.130

-0.015

PWSI

p_pelagic

3

6

1

0.553

0.561

0.285

0.787

1.015

0.132

-0.061

PWSI

p_pelagic

3

8

2

0.190

0.177

0.067

0.392

1.018

0.083

0.156

PWSI

p_pelagic

3

9

1

0.548

0.553

0.284

0.789

1.010

0.131

-0.038

PWSI

p_pelagic

3

9

2

0.192

0.178

0.065

0.388

1.018

0.084

0.166

PWSI

p_black

8

40

1

0.482

0.416

0.343

0.962

1.031

0.184

0.359

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

tau_beta0_pH

1

1

4.392

2.257

0.102

21.812

1.112

7.007

0.305

CI

beta1_pH

10

3

5.100

4.460

2.531

11.610

1.126

2.364

0.271

northeast

beta2_pH

10

1

2.168

0.806

0.294

17.663

1.364

4.279

0.318

northeast

beta2_pH

10

3

0.899

0.388

0.116

7.358

1.158

1.770

0.289

northeast

beta0_pH

11

1

0.048

0.109

-0.801

0.578

1.335

0.348

-0.175

CSEO

beta1_pH

11

1

3.281

3.134

2.518

4.718

1.505

0.577

0.255

CSEO

beta2_pH

11

1

0.434

0.389

0.172

0.902

1.255

0.240

0.187

CSEO

beta0_pelagic

11

-0.227

-0.164

-1.164

0.144

1.480

0.293

-0.215

CSEO

beta1_pelagic

11

1.277

1.196

0.747

2.813

1.453

0.425

0.191

CSEO

beta3_pelagic

11

29.942

29.995

26.904

32.618

1.129

1.354

-0.039

CSEO

beta0_pelagic

13

-0.730

-0.757

-1.430

0.070

1.672

0.407

0.066

NSEI

beta1_pelagic

13

2.432

2.580

1.159

3.357

1.894

0.606

-0.244

NSEI

beta2_pelagic

13

0.244

0.178

0.105

0.742

1.390

0.306

0.216

NSEI

beta0_pelagic

15

-0.279

-0.218

-0.908

-0.187

1.414

0.175

-0.348

SSEI

beta1_pelagic

15

0.168

0.061

0.011

0.852

1.299

0.230

0.465

SSEI

beta0_pH

16

5

0.269

0.252

0.079

0.538

1.210

0.119

0.143

SSEO

beta3_pH

16

4

41.618

41.575

40.944

42.582

1.395

0.411

0.105

SSEO

beta4_pH

16

5

20.208

16.911

7.406

54.344

1.290

12.174

0.271

SSEO

beta0_pelagic

16

-0.447

-0.356

-1.335

0.071

1.431

0.375

-0.242

SSEO

beta1_pelagic

16

1.528

1.413

0.733

2.789

1.469

0.553

0.208

SSEO

beta2_pelagic

16

0.814

0.390

0.129

4.458

1.148

1.130

0.375

SSEO

beta0_dsr

16

0.169

0.169

0.136

0.201

1.273

0.017

0.000

SSEO

beta0_slope

16

-2.695

-2.696

-2.777

-2.614

1.299

0.042

0.024

SSEO

mu_beta1_pH

2

3

4.203

3.773

0.898

10.070

1.158

2.191

0.196

NG

mu_beta2_pH

2

1

2.171

0.842

0.036

16.609

1.375

4.104

0.324

NG

beta0_pH

2

1

1.301

1.346

0.607

1.667

1.234

0.259

-0.174

NG

beta1_pH

2

1

1.814

1.720

1.172

3.143

1.276

0.461

0.204

NG

beta2_pH

2

1

1.080

0.845

0.148

3.284

1.138

0.818

0.287

NG

beta0_yellow

2

0.479

0.532

-0.511

0.685

1.399

0.255

-0.208

NG

beta1_yellow

2

1.097

1.037

0.574

2.335

1.256

0.379

0.158

NG

beta2_yellow

2

-5.406

-3.088

-20.179

-0.133

1.514

5.699

-0.407

NG

beta3_yellow

2

29.328

28.797

26.840

36.853

1.264

2.350

0.226

NG

mu_beta1_pH

3

1

3.061

3.008

2.375

3.979

1.165

0.571

0.093

PWSI

beta2_pH

3

1

0.890

0.686

0.149

2.768

1.127

0.690

0.296

PWSI

beta1_pH

4

1

2.271

2.094

1.393

4.361

1.120

0.731

0.242

PWSO

beta3_pH

4

1

33.061

32.725

29.950

38.805

1.115

2.192

0.153

PWSO

beta2_pH

5

1

2.827

1.500

0.312

16.814

1.323

4.221

0.314

BSAI

beta4_yellow

5

0.804

0.898

-7.529

8.364

1.105

6.147

-0.015

BSAI

beta2_pH

6

1

2.006

0.542

0.134

16.176

1.346

4.291

0.341

SOKO2SAP

beta4_pelagic

7

1.250

0.902

-5.931

13.957

1.127

9.252

0.038

WKMA

beta0_pH

8

1

-0.462

-0.444

-1.124

0.051

1.121

0.328

-0.055

afognak

beta2_pH

8

1

1.967

0.424

0.148

17.275

1.400

4.514

0.342

afognak

beta2_pH

9

1

1.991

0.583

0.185

17.583

1.380

4.364

0.323

eastside

beta2_pH

9

3

1.012

0.473

0.220

7.488

1.231

1.760

0.306

eastside

lambda_H

15

0.020

0.014

0.003

0.064

1.211

0.045

0.133

SSEI

lambda_H

16

0.752

0.359

0.043

4.011

1.166

1.460

0.269

SSEO

logbc_H

8

26

0.913

0.961

-0.303

1.726

1.120

0.486

-0.099

afognak

logbc_H

8

27

0.780

0.815

-0.086

1.361

1.177

0.346

-0.101

afognak

logbc_H

8

28

1.150

1.193

0.063

1.858

1.155

0.440

-0.098

afognak

pG

8

2

0.808

0.822

0.547

0.960

1.101

0.104

-0.134

afognak

pG

8

3

0.804

0.821

0.548

0.960

1.121

0.107

-0.158

afognak

pG

8

4

0.804

0.818

0.544

0.960

1.111

0.107

-0.130

afognak

pG

8

5

0.806

0.820

0.537

0.961

1.110

0.107

-0.131

afognak

pG

8

7

0.804

0.817

0.558

0.958

1.111

0.104

-0.125

afognak

pG

8

9

0.806

0.823

0.544

0.961

1.112

0.108

-0.158

afognak

pG

8

11

0.808

0.822

0.569

0.965

1.104

0.105

-0.133

afognak

pG

8

12

0.806

0.820

0.543

0.962

1.105

0.106

-0.132

afognak

pG

8

13

0.807

0.821

0.567

0.954

1.106

0.102

-0.137

afognak

pG

8

14

0.803

0.818

0.535

0.961

1.113

0.107

-0.140

afognak

pG

8

17

0.807

0.823

0.548

0.961

1.101

0.107

-0.149

afognak

pG

8

21

0.808

0.822

0.545

0.962

1.107

0.104

-0.135

afognak

pG

8

22

0.774

0.799

0.407

0.950

1.205

0.127

-0.197

afognak

pG

8

23

0.787

0.806

0.454

0.958

1.208

0.117

-0.163

afognak

pG

8

25

0.784

0.805

0.425

0.953

1.219

0.124

-0.170

afognak

pG

8

26

0.732

0.778

0.224

0.944

1.313

0.176

-0.262

afognak

pG

8

27

0.742

0.773

0.330

0.941

1.372

0.150

-0.207

afognak

pG

8

28

0.729

0.775

0.239

0.944

1.298

0.176

-0.261

afognak

pG

8

30

0.773

0.799

0.395

0.952

1.215

0.131

-0.198

afognak

pG

8

37

0.813

0.823

0.611

0.957

1.104

0.086

-0.116

afognak

b1_pG

8

29.425

31.932

3.355

49.274

1.137

14.064

-0.178

afognak

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

1,032.00

237.00

1,328.00

338.00

Prop. of total

0.81

0.19

0.80

0.20

Prop. median less than 1

0.13

0.20

0.26

0.42

Prop. median less than 10

0.23

0.51

0.44

0.75

Prop. median less than 50

0.36

0.77

0.59

0.81

Median of the median values

217.30

9.23

17.42

1.93

Mean of the median values

958.83

217.09

385.23

88.66

Mean skew of posteriors

0.22

0.29

0.27

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

84.00

9.00

96.00

43.00

Prop. of total

0.90

0.10

0.69

0.31

Prop. median less than 1

0.04

0.33

0.42

0.72

Prop. median less than 10

0.18

1.00

0.61

0.95

Prop. median less than 50

0.25

1.00

0.69

0.95

Median of the median values

248.47

3.16

2.19

0.14

Mean of the median values

499.09

3.33

87.15

3.48

Mean skew of posteriors

0.24

0.20

0.21

0.16

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

b1_pG

1

beta0_dsr

1

beta0_pelagic

4

beta0_pH

4

beta0_slope

1

beta0_yellow

1

beta1_pelagic

4

beta1_pH

4

beta1_yellow

1

beta2_pelagic

2

beta2_pH

10

beta2_yellow

1

beta3_pelagic

1

beta3_pH

2

beta3_yellow

1

beta4_pelagic

1

beta4_pH

1

Bp_ay

2

Bp_ayu

6

H_ay

9

H_ayu

12

Hb_ay

24

Hb_ayg

2

Hb_ayu

19

Hd_ay

1

Hd_ayg

1

Ho_ay

5

Ho_ayu

12

Hp_ay

27

Hp_ayg

10

Hp_ayu

26

Hs_ay

1

Hs_ayg

1

Htrend_ay

9

Hy_ay

8

Hy_ayu

11

lambda_H

2

logbc_H

3

mu_beta1_pH

2

mu_beta2_pH

1

p_dsr

1

p_pelagic

40

p_slope

1

pG

13

pH

11

R_ay

7

R_ayg

1

R_ayu

10

Rb_ay

6

Rb_ayg

3

Rb_ayu

9

Rd_ay

4

Rd_ayg

3

Rd_ayu

2

re_dsr

1

re_pelagic

11

re_pH

24

re_slope

1

re_yellow

11

Ro_ay

29

Ro_ayg

18

Ro_ayu

46

Rp_ay

7

Rp_ayg

1

Rp_ayu

11

Rs_ay

2

Rs_ayg

6

Rs_ayu

17

Ry_ay

17

Ry_ayg

6

Ry_ayu

26

tau_beta0_pH

1

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.012 0.069 -0.139 -0.016 0.129
mu_bc_H[2] 0.079 0.054 -0.019 0.077 0.193
mu_bc_H[3] -0.275 0.069 -0.403 -0.276 -0.136
mu_bc_H[4] -0.922 0.186 -1.291 -0.918 -0.553
mu_bc_H[5] 1.314 1.151 0.084 1.047 4.341
mu_bc_H[6] -2.381 0.315 -3.000 -2.387 -1.758
mu_bc_H[7] -0.454 0.101 -0.662 -0.453 -0.266
mu_bc_H[8] 0.233 0.359 -0.371 0.195 1.059
mu_bc_H[9] -0.251 0.126 -0.491 -0.252 0.010
mu_bc_H[10] 0.057 0.064 -0.066 0.056 0.190
mu_bc_H[11] -0.124 0.037 -0.199 -0.124 -0.053
mu_bc_H[12] -0.253 0.104 -0.478 -0.249 -0.056
mu_bc_H[13] -0.158 0.074 -0.299 -0.159 -0.011
mu_bc_H[14] -0.307 0.089 -0.483 -0.305 -0.135
mu_bc_H[15] -0.338 0.046 -0.427 -0.337 -0.245
mu_bc_H[16] -0.215 0.370 -0.874 -0.244 0.630
mu_bc_R[1] 1.052 0.118 0.816 1.051 1.286
mu_bc_R[2] 1.020 0.073 0.869 1.023 1.158
mu_bc_R[3] 0.233 0.093 0.049 0.234 0.417
mu_bc_R[4] 0.678 0.195 0.283 0.684 1.036
mu_bc_R[5] 1.674 0.376 0.934 1.682 2.387
mu_bc_R[6] -1.410 0.338 -2.079 -1.408 -0.762
mu_bc_R[7] 0.517 0.170 0.177 0.518 0.848
mu_bc_R[8] 0.643 0.156 0.333 0.642 0.944
mu_bc_R[9] 0.386 0.167 0.048 0.389 0.698
mu_bc_R[10] 0.901 0.101 0.707 0.900 1.099
mu_bc_R[11] 1.114 0.073 0.971 1.116 1.254
mu_bc_R[12] 0.866 0.161 0.565 0.865 1.191
mu_bc_R[13] 1.052 0.089 0.877 1.052 1.224
mu_bc_R[14] 0.860 0.123 0.613 0.864 1.099
mu_bc_R[15] 0.802 0.094 0.621 0.803 0.989
mu_bc_R[16] 1.348 0.108 1.134 1.350 1.558
tau_pH[1] 2.574 0.193 2.207 2.571 2.964
tau_pH[2] 1.633 0.152 1.346 1.626 1.952
tau_pH[3] 1.355 0.124 1.122 1.349 1.614
tau_pH[4] 1.169 0.152 0.891 1.160 1.486
tau_pH[5] 0.438 0.081 0.300 0.430 0.616
beta0_pH[1,1] 0.518 0.178 0.123 0.531 0.830
beta0_pH[2,1] 1.301 0.259 0.607 1.346 1.667
beta0_pH[3,1] 1.275 0.316 0.444 1.340 1.722
beta0_pH[4,1] 1.433 0.301 0.748 1.467 1.935
beta0_pH[5,1] -0.721 0.336 -1.454 -0.690 -0.137
beta0_pH[6,1] -0.396 0.341 -1.282 -0.329 0.109
beta0_pH[7,1] 0.758 0.011 0.736 0.758 0.780
beta0_pH[8,1] -0.462 0.328 -1.124 -0.444 0.051
beta0_pH[9,1] -0.266 0.313 -1.010 -0.226 0.229
beta0_pH[10,1] 0.265 0.186 -0.136 0.277 0.599
beta0_pH[11,1] 0.048 0.348 -0.801 0.109 0.578
beta0_pH[12,1] 0.715 0.190 0.312 0.724 1.055
beta0_pH[13,1] -0.604 0.138 -0.878 -0.602 -0.340
beta0_pH[14,1] -0.023 0.152 -0.321 -0.018 0.281
beta0_pH[15,1] 0.008 0.171 -0.332 0.019 0.311
beta0_pH[16,1] -0.596 0.207 -1.062 -0.583 -0.245
beta0_pH[1,2] 2.565 0.083 2.409 2.563 2.729
beta0_pH[2,2] 3.079 0.022 3.038 3.079 3.122
beta0_pH[3,2] 3.625 0.041 3.545 3.626 3.707
beta0_pH[4,2] 2.935 0.019 2.898 2.935 2.973
beta0_pH[5,2] 4.441 1.255 2.740 4.209 7.653
beta0_pH[6,2] 3.326 0.159 3.021 3.322 3.651
beta0_pH[7,2] 2.034 0.051 1.940 2.034 2.135
beta0_pH[8,2] 2.823 0.065 2.699 2.820 2.953
beta0_pH[9,2] 3.947 0.205 3.557 3.941 4.373
beta0_pH[10,2] 3.994 0.128 3.747 3.990 4.252
beta0_pH[11,2] 1.885 0.009 1.867 1.885 1.903
beta0_pH[12,2] 1.787 0.069 1.656 1.786 1.919
beta0_pH[13,2] 2.498 0.026 2.446 2.498 2.549
beta0_pH[14,2] 1.803 0.024 1.757 1.803 1.851
beta0_pH[15,2] 2.545 0.017 2.511 2.545 2.577
beta0_pH[16,2] 2.760 0.025 2.711 2.759 2.808
beta0_pH[1,3] 1.089 0.375 0.239 1.156 1.648
beta0_pH[2,3] 2.127 0.017 2.093 2.127 2.162
beta0_pH[3,3] 2.691 0.024 2.644 2.692 2.738
beta0_pH[4,3] 2.980 0.035 2.914 2.980 3.052
beta0_pH[5,3] 3.120 1.775 0.907 2.726 7.795
beta0_pH[6,3] 1.332 0.365 0.704 1.307 2.172
beta0_pH[7,3] 0.857 0.050 0.760 0.857 0.953
beta0_pH[8,3] 0.281 0.198 -0.118 0.307 0.551
beta0_pH[9,3] -2.146 0.822 -3.661 -2.203 -0.532
beta0_pH[10,3] -0.356 0.876 -2.136 -0.268 0.910
beta0_pH[11,3] 1.122 0.456 0.151 1.155 1.963
beta0_pH[12,3] 1.043 0.625 -0.197 1.024 2.260
beta0_pH[13,3] 0.985 0.422 0.079 1.005 1.743
beta0_pH[14,3] 0.558 0.393 -0.317 0.580 1.247
beta0_pH[15,3] 0.687 0.375 -0.078 0.698 1.370
beta0_pH[16,3] 1.197 0.575 0.108 1.183 2.355
beta0_pH[11,4] 0.968 0.386 0.252 0.956 1.752
beta0_pH[12,4] 0.999 0.614 -0.142 0.948 2.268
beta0_pH[13,4] 0.792 0.378 -0.069 0.807 1.518
beta0_pH[14,4] 0.482 0.377 -0.424 0.534 1.114
beta0_pH[15,4] 0.665 0.356 -0.110 0.698 1.308
beta0_pH[16,4] 0.921 0.489 0.007 0.888 1.989
beta0_pH[11,5] 2.968 0.146 2.705 2.961 3.274
beta0_pH[12,5] -0.674 0.582 -1.817 -0.668 0.459
beta0_pH[13,5] 4.881 0.417 4.097 4.871 5.761
beta0_pH[14,5] 3.874 0.361 3.204 3.854 4.634
beta0_pH[15,5] 2.279 0.122 2.054 2.275 2.529
beta0_pH[16,5] 0.269 0.119 0.079 0.252 0.538
beta1_pH[1,1] 2.722 0.658 1.892 2.579 4.619
beta1_pH[2,1] 1.814 0.461 1.172 1.720 3.143
beta1_pH[3,1] 2.003 0.531 1.241 1.901 3.367
beta1_pH[4,1] 2.271 0.731 1.393 2.094 4.361
beta1_pH[5,1] 2.223 0.432 1.481 2.188 3.146
beta1_pH[6,1] 1.957 0.667 1.076 1.817 3.603
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.239 0.664 1.293 2.104 4.034
beta1_pH[9,1] 1.964 0.520 1.208 1.890 3.239
beta1_pH[10,1] 2.164 0.388 1.522 2.115 3.034
beta1_pH[11,1] 3.281 0.577 2.518 3.134 4.718
beta1_pH[12,1] 2.726 0.274 2.202 2.718 3.288
beta1_pH[13,1] 3.367 0.231 2.915 3.373 3.827
beta1_pH[14,1] 2.908 0.280 2.371 2.897 3.489
beta1_pH[15,1] 2.479 0.255 2.035 2.466 2.993
beta1_pH[16,1] 3.538 0.293 3.024 3.523 4.188
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.959 1.083 0.117 1.844 4.673
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.131 1.700 1.862 3.781 8.282
beta1_pH[9,3] 4.590 0.998 2.737 4.591 6.616
beta1_pH[10,3] 5.100 2.364 2.531 4.460 11.610
beta1_pH[11,3] 2.183 0.514 1.217 2.157 3.257
beta1_pH[12,3] 2.998 0.628 1.840 2.989 4.355
beta1_pH[13,3] 2.000 0.449 1.170 1.989 2.921
beta1_pH[14,3] 2.226 0.446 1.420 2.215 3.169
beta1_pH[15,3] 2.148 0.438 1.335 2.136 3.027
beta1_pH[16,3] 3.289 0.631 2.045 3.303 4.497
beta1_pH[11,4] 1.832 0.464 0.892 1.852 2.690
beta1_pH[12,4] 2.799 0.602 1.575 2.822 3.950
beta1_pH[13,4] 1.225 0.402 0.412 1.216 2.094
beta1_pH[14,4] 1.888 0.442 1.115 1.838 2.871
beta1_pH[15,4] 1.374 0.415 0.587 1.340 2.210
beta1_pH[16,4] 3.114 0.589 1.863 3.167 4.234
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 0.983 0.710 0.238 0.758 3.128
beta2_pH[2,1] 1.080 0.818 0.148 0.845 3.284
beta2_pH[3,1] 0.890 0.690 0.149 0.686 2.768
beta2_pH[4,1] 0.732 0.639 0.136 0.506 2.715
beta2_pH[5,1] 2.827 4.221 0.312 1.500 16.814
beta2_pH[6,1] 2.006 4.291 0.134 0.542 16.176
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 1.967 4.514 0.148 0.424 17.275
beta2_pH[9,1] 1.991 4.364 0.185 0.583 17.583
beta2_pH[10,1] 2.168 4.279 0.294 0.806 17.663
beta2_pH[11,1] 0.434 0.240 0.172 0.389 0.902
beta2_pH[12,1] 1.680 0.823 0.609 1.476 3.675
beta2_pH[13,1] 1.030 0.397 0.558 0.935 2.042
beta2_pH[14,1] 1.083 0.616 0.434 0.912 3.011
beta2_pH[15,1] 0.902 0.502 0.345 0.775 2.216
beta2_pH[16,1] 1.284 0.489 0.646 1.175 2.636
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.831 6.782 0.137 5.350 22.495
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 2.481 2.408 0.347 1.518 9.703
beta2_pH[9,3] 1.012 1.760 0.220 0.473 7.488
beta2_pH[10,3] 0.899 1.770 0.116 0.388 7.358
beta2_pH[11,3] -5.739 4.627 -18.243 -4.438 -0.486
beta2_pH[12,3] -6.537 4.559 -18.368 -5.415 -0.979
beta2_pH[13,3] -6.101 4.560 -18.419 -4.777 -1.071
beta2_pH[14,3] -6.092 4.442 -18.296 -4.757 -1.274
beta2_pH[15,3] -6.330 4.534 -18.259 -5.081 -1.065
beta2_pH[16,3] -6.375 4.363 -18.221 -5.090 -1.568
beta2_pH[11,4] -7.724 5.047 -19.195 -6.745 -0.948
beta2_pH[12,4] -7.963 5.031 -19.298 -6.946 -1.198
beta2_pH[13,4] -7.859 4.997 -19.221 -6.732 -1.223
beta2_pH[14,4] -7.775 4.905 -19.241 -6.601 -1.421
beta2_pH[15,4] -7.828 4.961 -19.334 -6.704 -1.319
beta2_pH[16,4] -8.140 4.858 -19.285 -6.997 -1.797
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 35.118 1.376 32.909 34.967 38.615
beta3_pH[2,1] 32.640 1.158 30.529 32.608 34.988
beta3_pH[3,1] 32.852 1.648 29.332 32.877 35.979
beta3_pH[4,1] 33.061 2.192 29.950 32.725 38.805
beta3_pH[5,1] 27.697 1.080 26.183 27.548 30.816
beta3_pH[6,1] 33.625 2.738 28.251 33.374 40.396
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 36.510 3.026 29.888 36.894 41.308
beta3_pH[9,1] 32.500 2.545 28.163 32.245 38.216
beta3_pH[10,1] 32.543 1.323 30.066 32.439 35.529
beta3_pH[11,1] 30.937 0.951 29.230 30.925 32.786
beta3_pH[12,1] 30.734 0.487 29.703 30.767 31.607
beta3_pH[13,1] 31.424 0.518 30.411 31.418 32.496
beta3_pH[14,1] 32.492 0.731 31.271 32.428 34.102
beta3_pH[15,1] 30.942 0.833 29.417 30.932 32.627
beta3_pH[16,1] 29.965 0.373 29.259 29.954 30.708
beta3_pH[1,2] 34.017 5.243 25.426 34.030 42.547
beta3_pH[2,2] 33.980 5.156 25.430 34.007 42.620
beta3_pH[3,2] 30.210 7.194 18.621 30.054 42.242
beta3_pH[4,2] 30.458 7.199 18.626 30.499 42.327
beta3_pH[5,2] 30.405 7.232 18.688 30.365 42.412
beta3_pH[6,2] 30.580 7.201 18.726 30.579 42.375
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 38.450 3.080 31.156 39.727 42.022
beta3_pH[2,3] 34.113 5.214 25.501 33.990 42.628
beta3_pH[3,3] 30.292 7.239 18.539 30.349 42.306
beta3_pH[4,3] 30.620 7.046 18.678 30.695 42.274
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.826 1.234 39.816 41.773 43.753
beta3_pH[9,3] 31.392 1.421 29.169 31.249 34.048
beta3_pH[10,3] 36.121 2.444 32.318 35.759 42.549
beta3_pH[11,3] 40.662 1.185 38.889 40.680 42.709
beta3_pH[12,3] 41.762 1.082 39.082 42.243 42.856
beta3_pH[13,3] 41.364 0.665 40.066 41.364 42.688
beta3_pH[14,3] 40.472 0.636 39.157 40.484 41.676
beta3_pH[15,3] 40.643 0.566 39.469 40.637 41.786
beta3_pH[16,3] 41.983 0.391 41.136 42.002 42.772
beta3_pH[11,4] 40.444 0.910 38.936 40.378 42.435
beta3_pH[12,4] 41.756 0.990 39.554 42.178 42.863
beta3_pH[13,4] 41.575 0.889 39.791 41.643 42.936
beta3_pH[14,4] 40.340 0.699 38.995 40.328 41.748
beta3_pH[15,4] 40.900 0.779 39.103 40.892 42.195
beta3_pH[16,4] 41.618 0.411 40.944 41.575 42.582
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.261 0.021 0.221 0.261 0.305
beta4_pH[2,1] 0.211 0.005 0.201 0.211 0.221
beta4_pH[3,1] 0.172 0.007 0.158 0.173 0.186
beta4_pH[4,1] 0.293 0.012 0.272 0.293 0.316
beta4_pH[5,1] 0.440 0.302 0.097 0.404 0.996
beta4_pH[6,1] 0.785 0.378 0.341 0.741 1.431
beta4_pH[7,1] 0.851 0.340 0.350 0.804 1.693
beta4_pH[8,1] 0.153 0.068 0.043 0.147 0.306
beta4_pH[9,1] 0.216 0.087 0.063 0.210 0.400
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.446 0.012 0.424 0.446 0.469
beta4_pH[12,1] 0.606 0.024 0.559 0.606 0.653
beta4_pH[13,1] 0.633 0.013 0.607 0.633 0.659
beta4_pH[14,1] 0.659 0.029 0.603 0.659 0.719
beta4_pH[15,1] 0.795 0.021 0.755 0.794 0.838
beta4_pH[16,1] 1.081 0.044 0.994 1.080 1.170
beta4_pH[1,2] 0.306 0.093 0.137 0.303 0.494
beta4_pH[2,2] 0.514 0.023 0.470 0.514 0.560
beta4_pH[3,2] 0.446 0.012 0.423 0.446 0.469
beta4_pH[4,2] 0.654 0.038 0.580 0.653 0.729
beta4_pH[5,2] 0.741 1.125 0.115 0.531 2.840
beta4_pH[6,2] 0.916 0.910 0.202 0.750 2.517
beta4_pH[7,2] 0.908 0.454 0.339 0.825 2.046
beta4_pH[8,2] 0.849 0.199 0.497 0.835 1.278
beta4_pH[9,2] 1.154 1.167 0.305 0.876 3.788
beta4_pH[10,2] 0.454 0.050 0.358 0.453 0.557
beta4_pH[11,2] 1.269 0.050 1.174 1.266 1.372
beta4_pH[12,2] 0.561 0.110 0.364 0.555 0.795
beta4_pH[13,2] 0.943 0.044 0.860 0.943 1.031
beta4_pH[14,2] 0.929 0.062 0.808 0.928 1.053
beta4_pH[15,2] 1.011 0.026 0.960 1.010 1.061
beta4_pH[16,2] 1.301 0.086 1.136 1.300 1.478
beta4_pH[1,3] 0.276 0.088 0.123 0.270 0.464
beta4_pH[2,3] 0.050 0.017 0.019 0.050 0.086
beta4_pH[3,3] 0.052 0.009 0.034 0.052 0.071
beta4_pH[4,3] 0.173 0.032 0.113 0.172 0.235
beta4_pH[5,3] 0.739 0.747 0.122 0.565 2.428
beta4_pH[6,3] 0.890 0.836 0.195 0.725 2.662
beta4_pH[7,3] 0.904 0.554 0.354 0.825 1.900
beta4_pH[8,3] 0.399 0.188 0.113 0.376 0.824
beta4_pH[9,3] 0.956 1.099 0.168 0.715 2.898
beta4_pH[10,3] 0.060 0.040 0.003 0.054 0.152
beta4_pH[11,3] 0.364 0.016 0.334 0.364 0.396
beta4_pH[12,3] 0.424 0.043 0.339 0.423 0.513
beta4_pH[13,3] 0.841 0.038 0.770 0.840 0.917
beta4_pH[14,3] 0.821 0.066 0.701 0.819 0.952
beta4_pH[15,3] 0.634 0.017 0.601 0.634 0.667
beta4_pH[16,3] 0.597 0.047 0.509 0.597 0.690
beta4_pH[1,4] 0.636 0.383 0.207 0.559 1.555
beta4_pH[2,4] 0.801 0.932 0.104 0.570 2.738
beta4_pH[3,4] 0.864 1.012 0.123 0.587 3.334
beta4_pH[4,4] 0.717 0.481 0.213 0.607 1.825
beta4_pH[5,4] 0.787 1.382 0.106 0.564 2.661
beta4_pH[6,4] 0.940 1.146 0.231 0.740 2.763
beta4_pH[7,4] 0.902 0.453 0.345 0.826 1.912
beta4_pH[8,4] 0.738 0.630 0.148 0.585 2.351
beta4_pH[9,4] 0.775 0.844 0.116 0.561 2.678
beta4_pH[10,4] 2.167 6.428 0.008 0.398 16.340
beta4_pH[11,4] 0.444 0.017 0.411 0.445 0.476
beta4_pH[12,4] 0.552 0.057 0.446 0.550 0.669
beta4_pH[13,4] 0.925 0.036 0.855 0.924 0.998
beta4_pH[14,4] 0.913 0.073 0.776 0.912 1.059
beta4_pH[15,4] 0.713 0.020 0.675 0.712 0.752
beta4_pH[16,4] 0.605 0.050 0.511 0.604 0.705
beta4_pH[1,5] 0.632 0.361 0.214 0.559 1.530
beta4_pH[2,5] 0.837 1.013 0.122 0.592 2.782
beta4_pH[3,5] 0.851 1.232 0.114 0.592 3.113
beta4_pH[4,5] 0.731 0.488 0.207 0.622 1.903
beta4_pH[5,5] 0.752 0.771 0.112 0.556 2.616
beta4_pH[6,5] 0.947 0.966 0.210 0.754 2.797
beta4_pH[7,5] 0.882 0.411 0.331 0.814 1.879
beta4_pH[8,5] 0.754 0.627 0.150 0.603 2.220
beta4_pH[9,5] 0.805 1.086 0.107 0.561 2.828
beta4_pH[10,5] 1.969 5.837 0.007 0.411 13.896
beta4_pH[11,5] 0.604 0.053 0.506 0.603 0.708
beta4_pH[12,5] 0.587 0.176 0.299 0.566 1.014
beta4_pH[13,5] 0.776 0.063 0.663 0.774 0.909
beta4_pH[14,5] 0.843 0.120 0.624 0.836 1.100
beta4_pH[15,5] 1.148 0.071 1.014 1.144 1.289
beta4_pH[16,5] 20.208 12.174 7.406 16.911 54.344
beta0_pelagic[1] 2.266 0.035 2.199 2.266 2.338
beta0_pelagic[2] 1.538 0.007 1.525 1.538 1.551
beta0_pelagic[3] 0.209 0.229 -0.295 0.237 0.646
beta0_pelagic[4] 0.234 0.208 -0.250 0.239 0.649
beta0_pelagic[5] 1.449 0.155 1.166 1.444 1.766
beta0_pelagic[6] 1.354 0.060 1.239 1.354 1.479
beta0_pelagic[7] 1.481 0.038 1.408 1.480 1.558
beta0_pelagic[8] 1.673 0.044 1.589 1.672 1.761
beta0_pelagic[9] 2.819 0.069 2.686 2.818 2.958
beta0_pelagic[10] 2.603 0.031 2.546 2.602 2.667
beta0_pelagic[11] -0.227 0.293 -1.164 -0.164 0.144
beta0_pelagic[12] 1.800 0.036 1.734 1.798 1.873
beta0_pelagic[13] -0.730 0.407 -1.430 -0.757 0.070
beta0_pelagic[14] -0.282 0.159 -0.624 -0.270 -0.013
beta0_pelagic[15] -0.279 0.175 -0.908 -0.218 -0.187
beta0_pelagic[16] -0.447 0.375 -1.335 -0.356 0.071
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.762 0.292 0.201 0.737 1.499
beta1_pelagic[4] 0.809 0.229 0.358 0.810 1.316
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.277 0.425 0.747 1.196 2.813
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.432 0.606 1.159 2.580 3.357
beta1_pelagic[14] 1.802 0.461 1.155 1.715 3.015
beta1_pelagic[15] 0.168 0.230 0.011 0.061 0.852
beta1_pelagic[16] 1.528 0.553 0.733 1.413 2.789
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.188 5.895 0.157 4.572 20.624
beta2_pelagic[4] 7.746 5.994 0.426 6.550 22.089
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.577 1.476 0.132 1.088 5.790
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.244 0.306 0.105 0.178 0.742
beta2_pelagic[14] 0.863 0.859 0.199 0.599 3.471
beta2_pelagic[15] 2.551 1.888 0.107 2.183 7.011
beta2_pelagic[16] 0.814 1.130 0.129 0.390 4.458
beta3_pelagic[1] 29.389 6.709 18.499 29.593 40.277
beta3_pelagic[2] 29.610 6.530 18.542 29.680 40.333
beta3_pelagic[3] 28.247 3.286 23.249 28.528 36.571
beta3_pelagic[4] 26.061 1.359 23.205 26.242 28.448
beta3_pelagic[5] 29.351 6.701 18.588 29.256 40.354
beta3_pelagic[6] 29.426 6.584 18.490 29.321 40.380
beta3_pelagic[7] 29.388 6.663 18.635 29.328 40.391
beta3_pelagic[8] 29.538 6.726 18.629 29.544 40.355
beta3_pelagic[9] 29.536 6.712 18.554 29.270 40.457
beta3_pelagic[10] 29.388 6.599 18.682 29.394 40.399
beta3_pelagic[11] 29.942 1.354 26.904 29.995 32.618
beta3_pelagic[12] 29.493 6.782 18.572 29.718 40.459
beta3_pelagic[13] 32.017 3.283 26.193 31.873 38.802
beta3_pelagic[14] 34.261 1.853 31.390 33.973 38.655
beta3_pelagic[15] 30.903 7.516 18.572 31.901 40.829
beta3_pelagic[16] 31.081 2.583 26.213 31.148 36.356
beta0_yellow[1] -0.484 0.081 -0.639 -0.484 -0.327
beta0_yellow[2] 0.479 0.255 -0.511 0.532 0.685
beta0_yellow[3] -0.201 0.143 -0.477 -0.202 0.017
beta0_yellow[4] 0.944 0.203 0.437 1.002 1.194
beta0_yellow[5] 0.280 0.328 -0.425 0.303 0.844
beta0_yellow[6] 0.821 0.108 0.608 0.819 1.035
beta0_yellow[7] 0.991 0.098 0.804 0.992 1.188
beta0_yellow[8] 1.024 0.095 0.839 1.023 1.205
beta0_yellow[9] 0.491 0.108 0.277 0.491 0.697
beta0_yellow[10] 0.549 0.071 0.409 0.549 0.688
beta0_yellow[11] -0.123 0.087 -0.291 -0.123 0.051
beta0_yellow[12] -1.085 0.095 -1.271 -1.083 -0.897
beta0_yellow[13] -1.144 0.094 -1.325 -1.144 -0.959
beta0_yellow[14] -0.127 0.092 -0.310 -0.128 0.047
beta0_yellow[15] -1.183 0.095 -1.369 -1.183 -0.995
beta0_yellow[16] -0.259 0.096 -0.450 -0.259 -0.070
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.097 0.379 0.574 1.037 2.335
beta1_yellow[3] 0.450 0.261 0.018 0.463 0.921
beta1_yellow[4] 1.257 0.497 0.627 1.167 2.587
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -5.406 5.699 -20.179 -3.088 -0.133
beta2_yellow[3] -7.669 5.777 -21.705 -6.537 -0.366
beta2_yellow[4] -6.137 5.859 -20.662 -4.480 -0.151
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.328 2.350 26.840 28.797 36.853
beta3_yellow[3] 32.281 3.507 23.047 32.472 39.372
beta3_yellow[4] 29.563 3.140 24.973 28.215 35.791
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] 0.014 0.077 -0.138 0.017 0.159
beta0_black[2] 1.855 0.032 1.792 1.855 1.919
beta0_black[3] 1.239 0.037 1.165 1.239 1.315
beta0_black[4] 2.425 0.046 2.337 2.424 2.518
beta0_black[5] 5.210 2.413 1.802 4.752 11.353
beta0_black[6] 5.261 2.183 2.583 4.672 10.710
beta0_black[7] 4.160 2.146 1.667 3.586 10.085
beta0_black[8] 0.896 0.220 0.466 0.894 1.339
beta0_black[9] 2.813 0.270 2.297 2.812 3.354
beta0_black[10] 1.288 0.051 1.190 1.288 1.388
beta0_black[11] 2.979 0.052 2.875 2.980 3.078
beta0_black[12] 4.921 0.192 4.551 4.921 5.295
beta0_black[13] 0.468 0.354 0.020 0.378 1.237
beta0_black[14] 2.852 0.108 2.640 2.853 3.060
beta0_black[15] 0.722 0.051 0.620 0.722 0.820
beta0_black[16] 3.772 0.075 3.623 3.772 3.916
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.514 1.736 -6.815 -2.141 -0.328
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.159 3.682 25.100 38.081 40.916
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.326 0.091 -0.505 -0.326 -0.142
beta4_black[2] 0.258 0.052 0.152 0.258 0.360
beta4_black[3] -0.716 0.065 -0.845 -0.715 -0.591
beta4_black[4] 0.628 0.134 0.367 0.627 0.895
beta4_black[5] 0.780 1.602 -1.189 0.474 4.588
beta4_black[6] 0.869 1.628 -0.864 0.539 4.546
beta4_black[7] 0.779 1.470 -1.038 0.498 4.278
beta4_black[8] 0.078 0.288 -0.526 0.088 0.609
beta4_black[9] 1.038 0.847 -0.141 0.866 3.238
beta4_black[10] 0.073 0.066 -0.059 0.072 0.203
beta4_black[11] -0.610 0.067 -0.737 -0.611 -0.478
beta4_black[12] 1.236 0.291 0.697 1.222 1.830
beta4_black[13] -1.002 0.076 -1.158 -1.000 -0.857
beta4_black[14] 0.227 0.180 -0.114 0.222 0.586
beta4_black[15] 0.003 0.046 -0.088 0.002 0.096
beta4_black[16] -0.416 0.118 -0.648 -0.418 -0.173
beta0_dsr[11] -0.329 0.010 -0.347 -0.329 -0.310
beta0_dsr[12] 1.410 0.044 1.326 1.410 1.495
beta0_dsr[13] 0.155 0.022 0.114 0.155 0.198
beta0_dsr[14] -0.127 0.017 -0.160 -0.127 -0.093
beta0_dsr[15] 0.205 0.014 0.179 0.206 0.232
beta0_dsr[16] 0.169 0.017 0.136 0.169 0.201
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.544 0.035 0.478 0.545 0.612
beta4_dsr[12] 0.802 0.225 0.379 0.792 1.253
beta4_dsr[13] -0.077 0.040 -0.154 -0.078 0.000
beta4_dsr[14] -0.207 0.071 -0.348 -0.206 -0.069
beta4_dsr[15] 0.217 0.021 0.175 0.217 0.258
beta4_dsr[16] -0.060 0.045 -0.150 -0.061 0.028
beta0_slope[11] -2.208 0.021 -2.251 -2.207 -2.168
beta0_slope[12] -5.174 0.219 -5.620 -5.164 -4.764
beta0_slope[13] -1.502 0.034 -1.569 -1.501 -1.437
beta0_slope[14] -2.711 0.052 -2.818 -2.709 -2.613
beta0_slope[15] -1.592 0.022 -1.635 -1.593 -1.548
beta0_slope[16] -2.695 0.042 -2.777 -2.696 -2.614
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.334 0.076 -0.487 -0.331 -0.188
beta4_slope[12] -4.668 0.815 -6.436 -4.625 -3.202
beta4_slope[13] 0.327 0.054 0.224 0.327 0.435
beta4_slope[14] -0.159 0.151 -0.460 -0.157 0.143
beta4_slope[15] -0.360 0.033 -0.423 -0.359 -0.296
beta4_slope[16] -0.099 0.101 -0.298 -0.100 0.097
beta5_slope[11] 3.064 0.105 2.862 3.062 3.270
beta5_slope[12] 2.011 0.380 1.309 1.999 2.779
beta5_slope[13] 0.880 0.079 0.728 0.878 1.040
beta5_slope[14] 3.764 0.358 3.109 3.753 4.528
beta5_slope[15] 1.307 0.073 1.163 1.306 1.450
beta5_slope[16] 2.724 0.232 2.283 2.718 3.191
tau_comp[1] 3.807 0.300 3.254 3.791 4.420
tau_comp[2] 2.731 0.245 2.280 2.730 3.238
tau_comp[3] 0.866 0.076 0.721 0.864 1.021
tau_comp[4] 1.775 0.277 1.284 1.761 2.365
tau_comp[5] 1.271 0.188 0.936 1.255 1.675
sigma_H[1] 0.208 0.048 0.124 0.205 0.310
sigma_H[2] 0.175 0.028 0.128 0.172 0.237
sigma_H[3] 0.187 0.041 0.115 0.184 0.280
sigma_H[4] 0.463 0.081 0.326 0.454 0.644
sigma_H[5] 0.956 0.202 0.583 0.946 1.377
sigma_H[6] 0.531 0.198 0.132 0.529 0.932
sigma_H[7] 0.312 0.065 0.214 0.304 0.467
sigma_H[8] 0.411 0.103 0.208 0.408 0.618
sigma_H[9] 0.517 0.117 0.335 0.504 0.780
sigma_H[10] 0.211 0.040 0.144 0.208 0.298
sigma_H[11] 0.266 0.044 0.194 0.262 0.367
sigma_H[12] 0.385 0.148 0.198 0.341 0.721
sigma_H[13] 0.217 0.036 0.155 0.215 0.295
sigma_H[14] 0.498 0.089 0.343 0.490 0.695
sigma_H[15] 0.233 0.039 0.168 0.230 0.323
sigma_H[16] 0.218 0.041 0.152 0.213 0.314
lambda_H[1] 2.102 3.137 0.080 1.035 10.996
lambda_H[2] 4.990 4.605 0.477 3.563 16.839
lambda_H[3] 5.362 8.139 0.278 2.730 27.123
lambda_H[4] 0.006 0.004 0.001 0.005 0.018
lambda_H[5] 2.419 5.712 0.024 0.629 18.092
lambda_H[6] 5.370 11.642 0.008 0.209 37.836
lambda_H[7] 0.012 0.009 0.002 0.010 0.034
lambda_H[8] 7.355 9.565 0.032 3.868 35.255
lambda_H[9] 0.015 0.010 0.003 0.013 0.039
lambda_H[10] 0.223 0.275 0.027 0.152 0.798
lambda_H[11] 0.239 0.348 0.011 0.115 1.207
lambda_H[12] 3.592 4.789 0.199 2.066 16.488
lambda_H[13] 3.110 2.944 0.256 2.252 10.703
lambda_H[14] 3.418 4.398 0.241 2.181 13.591
lambda_H[15] 0.020 0.045 0.003 0.014 0.064
lambda_H[16] 0.752 1.460 0.043 0.359 4.011
mu_lambda_H[1] 4.067 1.908 1.065 3.845 8.289
mu_lambda_H[2] 3.625 1.976 0.467 3.423 7.794
mu_lambda_H[3] 3.338 1.837 0.683 3.032 7.445
sigma_lambda_H[1] 8.151 4.363 1.828 7.371 17.971
sigma_lambda_H[2] 8.016 4.740 0.762 7.362 18.125
sigma_lambda_H[3] 6.081 4.024 0.894 5.129 16.223
beta_H[1,1] 6.503 1.303 3.408 6.744 8.408
beta_H[2,1] 9.756 0.612 8.457 9.799 10.869
beta_H[3,1] 7.828 0.810 5.963 7.921 9.150
beta_H[4,1] 10.376 7.628 -5.157 10.275 25.239
beta_H[5,1] -0.258 2.549 -5.695 -0.108 4.178
beta_H[6,1] 2.942 4.396 -7.488 4.392 8.325
beta_H[7,1] 1.288 5.648 -10.417 1.591 11.467
beta_H[8,1] 1.606 5.140 -2.745 1.240 4.338
beta_H[9,1] 13.471 5.751 2.566 13.419 25.686
beta_H[10,1] 6.860 1.805 3.090 6.917 10.286
beta_H[11,1] 4.919 3.546 -2.895 5.527 9.923
beta_H[12,1] 2.627 1.109 0.626 2.532 5.132
beta_H[13,1] 9.115 0.871 7.192 9.163 10.588
beta_H[14,1] 2.125 1.032 0.019 2.138 4.106
beta_H[15,1] -6.849 3.499 -13.373 -7.068 0.548
beta_H[16,1] 3.539 2.661 -0.704 3.182 9.853
beta_H[1,2] 7.773 0.271 7.218 7.781 8.292
beta_H[2,2] 9.879 0.169 9.546 9.877 10.197
beta_H[3,2] 8.803 0.203 8.400 8.804 9.207
beta_H[4,2] 3.055 1.488 0.221 3.028 6.059
beta_H[5,2] 1.764 0.987 -0.156 1.753 3.738
beta_H[6,2] 5.956 1.111 3.367 6.133 7.751
beta_H[7,2] 2.387 1.044 0.473 2.356 4.590
beta_H[8,2] 2.924 1.408 0.670 3.146 4.255
beta_H[9,2] 3.200 1.096 1.138 3.208 5.429
beta_H[10,2] 8.022 0.356 7.299 8.033 8.719
beta_H[11,2] 9.808 0.637 8.855 9.703 11.269
beta_H[12,2] 3.942 0.368 3.240 3.925 4.703
beta_H[13,2] 9.158 0.241 8.722 9.153 9.667
beta_H[14,2] 4.024 0.343 3.371 4.017 4.700
beta_H[15,2] 11.523 0.629 10.257 11.534 12.732
beta_H[16,2] 4.481 0.800 2.971 4.475 6.070
beta_H[1,3] 8.439 0.264 7.956 8.431 8.959
beta_H[2,3] 9.853 0.152 9.562 9.851 10.149
beta_H[3,3] 9.470 0.164 9.161 9.470 9.802
beta_H[4,3] -2.164 0.902 -3.935 -2.172 -0.386
beta_H[5,3] 3.912 0.622 2.617 3.925 5.100
beta_H[6,3] 8.419 1.225 6.718 8.156 10.932
beta_H[7,3] -2.551 0.636 -3.837 -2.552 -1.349
beta_H[8,3] 5.393 0.647 4.728 5.279 6.905
beta_H[9,3] -2.701 0.703 -4.106 -2.691 -1.368
beta_H[10,3] 8.559 0.270 8.034 8.556 9.109
beta_H[11,3] 8.507 0.290 7.872 8.530 9.014
beta_H[12,3] 5.273 0.317 4.509 5.309 5.784
beta_H[13,3] 8.853 0.176 8.506 8.857 9.191
beta_H[14,3] 5.788 0.269 5.173 5.809 6.248
beta_H[15,3] 10.295 0.306 9.689 10.291 10.882
beta_H[16,3] 6.201 0.559 5.040 6.231 7.220
beta_H[1,4] 8.086 0.183 7.698 8.100 8.414
beta_H[2,4] 9.843 0.126 9.591 9.851 10.070
beta_H[3,4] 9.964 0.154 9.628 9.977 10.235
beta_H[4,4] 11.809 0.474 10.876 11.807 12.746
beta_H[5,4] 5.615 0.736 4.368 5.543 7.263
beta_H[6,4] 7.137 0.919 5.215 7.347 8.476
beta_H[7,4] 8.539 0.353 7.823 8.548 9.211
beta_H[8,4] 6.748 0.330 6.013 6.767 7.327
beta_H[9,4] 7.422 0.443 6.538 7.414 8.322
beta_H[10,4] 7.529 0.226 7.109 7.524 7.990
beta_H[11,4] 9.503 0.190 9.133 9.506 9.881
beta_H[12,4] 7.247 0.198 6.862 7.245 7.649
beta_H[13,4] 9.060 0.138 8.767 9.064 9.321
beta_H[14,4] 7.841 0.208 7.434 7.834 8.262
beta_H[15,4] 9.468 0.222 9.027 9.472 9.896
beta_H[16,4] 9.382 0.231 8.955 9.374 9.844
beta_H[1,5] 8.889 0.154 8.571 8.894 9.189
beta_H[2,5] 10.674 0.101 10.484 10.672 10.880
beta_H[3,5] 10.766 0.161 10.477 10.762 11.090
beta_H[4,5] 8.344 0.497 7.388 8.345 9.326
beta_H[5,5] 5.192 0.602 3.721 5.267 6.158
beta_H[6,5] 8.970 0.635 7.985 8.867 10.369
beta_H[7,5] 6.585 0.350 5.937 6.571 7.299
beta_H[8,5] 8.274 0.247 7.897 8.247 8.790
beta_H[9,5] 8.206 0.456 7.310 8.203 9.090
beta_H[10,5] 10.035 0.228 9.591 10.042 10.476
beta_H[11,5] 11.588 0.220 11.171 11.590 12.013
beta_H[12,5] 8.614 0.184 8.255 8.616 8.972
beta_H[13,5] 10.137 0.129 9.890 10.132 10.399
beta_H[14,5] 9.243 0.209 8.851 9.235 9.677
beta_H[15,5] 11.319 0.236 10.852 11.317 11.790
beta_H[16,5] 9.876 0.182 9.499 9.880 10.221
beta_H[1,6] 10.120 0.237 9.754 10.086 10.717
beta_H[2,6] 11.473 0.119 11.244 11.472 11.724
beta_H[3,6] 10.612 0.157 10.272 10.623 10.902
beta_H[4,6] 12.916 0.884 11.188 12.919 14.660
beta_H[5,6] 5.698 0.637 4.597 5.658 7.126
beta_H[6,6] 8.742 0.587 7.478 8.782 9.810
beta_H[7,6] 10.538 0.600 9.355 10.531 11.684
beta_H[8,6] 9.510 0.327 8.952 9.543 9.961
beta_H[9,6] 8.284 0.764 6.771 8.299 9.773
beta_H[10,6] 9.150 0.346 8.433 9.166 9.771
beta_H[11,6] 10.694 0.361 9.945 10.719 11.324
beta_H[12,6] 9.367 0.240 8.906 9.358 9.882
beta_H[13,6] 11.098 0.154 10.798 11.090 11.422
beta_H[14,6] 9.914 0.280 9.342 9.921 10.466
beta_H[15,6] 10.555 0.419 9.746 10.547 11.396
beta_H[16,6] 10.609 0.250 10.049 10.626 11.063
beta_H[1,7] 10.177 1.232 7.020 10.464 11.939
beta_H[2,7] 12.096 0.517 10.959 12.123 13.041
beta_H[3,7] 10.270 0.673 8.795 10.336 11.417
beta_H[4,7] 1.404 4.529 -7.616 1.400 10.246
beta_H[5,7] 5.768 2.008 1.592 5.854 9.511
beta_H[6,7] 7.067 3.365 -1.207 8.212 11.045
beta_H[7,7] 7.730 3.082 1.829 7.724 13.918
beta_H[8,7] 10.950 1.319 9.200 10.862 13.173
beta_H[9,7] 4.959 3.935 -2.849 4.928 12.606
beta_H[10,7] 10.022 1.588 7.247 9.905 13.359
beta_H[11,7] 11.357 1.788 8.276 11.166 15.267
beta_H[12,7] 9.788 0.925 7.716 9.839 11.456
beta_H[13,7] 11.687 0.729 9.964 11.770 12.926
beta_H[14,7] 10.626 0.898 8.766 10.673 12.313
beta_H[15,7] 13.951 2.185 9.652 13.967 18.162
beta_H[16,7] 12.777 1.342 10.573 12.582 15.888
beta0_H[1] 8.880 18.088 -25.293 8.721 45.172
beta0_H[2] 10.670 8.190 -6.323 10.695 26.968
beta0_H[3] 9.505 10.034 -11.735 9.679 29.458
beta0_H[4] 1.716 187.871 -385.733 4.265 384.667
beta0_H[5] 4.413 30.144 -49.202 4.199 67.393
beta0_H[6] 7.245 57.324 -112.778 7.746 128.781
beta0_H[7] 1.252 139.510 -281.408 1.715 284.525
beta0_H[8] 7.164 42.440 -24.298 6.385 33.842
beta0_H[9] 5.103 126.274 -249.896 5.930 272.467
beta0_H[10] 8.918 37.730 -62.409 8.582 83.447
beta0_H[11] 11.235 53.367 -101.014 10.509 116.611
beta0_H[12] 6.755 12.165 -18.836 6.665 31.672
beta0_H[13] 9.679 10.749 -11.307 9.776 30.288
beta0_H[14] 6.861 11.938 -17.716 6.787 29.757
beta0_H[15] 8.020 116.567 -231.208 8.421 240.137
beta0_H[16] 7.954 27.874 -49.110 8.524 63.496